{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "\n",
      "import matplotlib.pyplot as plt\n",
      "import numpy as np"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 51
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a = np.array([1, 2, 3, 42])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 52
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 53,
       "text": [
        "array([ 1,  2,  3, 42])"
       ]
      }
     ],
     "prompt_number": 53
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "b = np.linspace(0, 10, 50)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 54
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "b"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 55,
       "text": [
        "array([  0.        ,   0.20408163,   0.40816327,   0.6122449 ,\n",
        "         0.81632653,   1.02040816,   1.2244898 ,   1.42857143,\n",
        "         1.63265306,   1.83673469,   2.04081633,   2.24489796,\n",
        "         2.44897959,   2.65306122,   2.85714286,   3.06122449,\n",
        "         3.26530612,   3.46938776,   3.67346939,   3.87755102,\n",
        "         4.08163265,   4.28571429,   4.48979592,   4.69387755,\n",
        "         4.89795918,   5.10204082,   5.30612245,   5.51020408,\n",
        "         5.71428571,   5.91836735,   6.12244898,   6.32653061,\n",
        "         6.53061224,   6.73469388,   6.93877551,   7.14285714,\n",
        "         7.34693878,   7.55102041,   7.75510204,   7.95918367,\n",
        "         8.16326531,   8.36734694,   8.57142857,   8.7755102 ,\n",
        "         8.97959184,   9.18367347,   9.3877551 ,   9.59183673,\n",
        "         9.79591837,  10.        ])"
       ]
      }
     ],
     "prompt_number": 55
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.sin(b)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 56,
       "text": [
        "array([ 0.        ,  0.20266794,  0.39692415,  0.57470604,  0.72863478,\n",
        "        0.85232157,  0.94063279,  0.98990308,  0.99808748,  0.96484631,\n",
        "        0.89155923,  0.78126802,  0.63855032,  0.46932961,  0.2806294 ,\n",
        "        0.08028167, -0.12339814, -0.32195632, -0.50715171, -0.67129779,\n",
        "       -0.80758169, -0.91034694, -0.97532829, -0.99982867, -0.9828312 ,\n",
        "       -0.92504137, -0.82885774, -0.6982724 , -0.53870529, -0.35677924,\n",
        "       -0.16004509,  0.04333173,  0.24491007,  0.43632343,  0.6096272 ,\n",
        "        0.75762842,  0.8741843 ,  0.9544572 ,  0.99511539,  0.99447137,\n",
        "        0.95255185,  0.8710967 ,  0.75348673,  0.60460332,  0.43062587,\n",
        "        0.23877532,  0.0370144 , -0.16628279, -0.36267843, -0.54402111])"
       ]
      }
     ],
     "prompt_number": 56
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "_ = plt.plot(b, np.sin(b))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1062b3910>"
       ]
      }
     ],
     "prompt_number": 57
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(b, np.sin(b), label='f(x) = sin(x)')\n",
      "plt.plot(b, np.cos(2 * b), label='f(x) = cos(2x)')\n",
      "_ = plt.legend(loc='lower right')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neNHnOI4TEV70OY7jROT/EQUAMKNxnH0AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107f40790>"
       ]
      }
     ],
     "prompt_number": 58
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = np.random.normal(loc=0, scale=1.0, size=1000)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 60,
       "text": [
        "(1000,)"
       ]
      }
     ],
     "prompt_number": 60
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x.dtype"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 61,
       "text": [
        "dtype('float64')"
       ]
      }
     ],
     "prompt_number": 61
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x[:10]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 62,
       "text": [
        "array([-1.74725782, -0.21666812, -0.03585392, -0.89125978,  0.34458167,\n",
        "        0.16602813,  0.00856297, -0.12466605, -0.74936856, -0.42467096])"
       ]
      }
     ],
     "prompt_number": 62
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.mean(x), np.std(x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 63,
       "text": [
        "(-0.024093868368155413, 1.0055750968579782)"
       ]
      }
     ],
     "prompt_number": 63
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.min(x), np.max(x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 64,
       "text": [
        "(-3.0050925336249126, 2.9444565659244519)"
       ]
      }
     ],
     "prompt_number": 64
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "_ = plt.plot(x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEACAYAAAC9Gb03AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107f628d0>"
       ]
      }
     ],
     "prompt_number": 65
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "_ = plt.hist(x, bins=20)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0AHAEP8PRkIvYE9axZoAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107fa3f50>"
       ]
      }
     ],
     "prompt_number": 66
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "_ = plt.plot(np.cumsum(x))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDKNSWAAYhmFUCgsAwzCMSvn/kE/Ep8syh8sAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106271390>"
       ]
      }
     ],
     "prompt_number": 67
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}